The relation given by the set of ordered pairs ((-4, - 2), (- 1, - 1), (1, 3), (1, 4), (7, 10)) is not a function because there are two different outputs associated with the input of 1. In a function, each input can only be associated with one output. In this relation, the input of 1 is associated with both 3 and 4, which violates this rule and makes it not a function.